78242418 has 36 divisors (see below), whose sum is σ = 178932078. Its totient is φ = 24706080.

The previous prime is 78242407. The next prime is 78242453. The reversal of 78242418 is 81424287.

It can be written as a sum of positive squares in only one way, i.e., 62773929 + 15468489 = 7923^2 + 3933^2 .

It is a super-2 number, since 2×78242418² = 12243751948973448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 478 + ... + 12518.

Almost surely, 2^78242418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78242418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89466039).

78242418 is an abundant number, since it is smaller than the sum of its proper divisors (100689660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78242418 is a wasteful number, since it uses less digits than its factorization.

78242418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12087 (or 12065 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 78242418 is about 8845.4744361170. The cubic root of 78242418 is about 427.7080468838.

The spelling of 78242418 in words is "seventy-eight million, two hundred forty-two thousand, four hundred eighteen".